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3. In 2010, the Centers for Disease Control and Prevention estimated 9.4% of children under the age of 18 had asthma. They reported the standard error to be 0.35%. Assuming that the sampling distribution is symmetric and bell-shaped, find a 95% confidence interval.Show any necessary calculations. a. Construct a 95% confidence interval. (3pts) b. Use a complete sentence to interpret in context. (2pts) 18pts 4. Evaluating Drugs to Fight Cocaine Addiction In a randomized experiment on treating cocaine addiction, 68 cocaine addicts who were trying to quit were randomly assigned to take either desipramine (a new drug), or Lithium (an existing drug). The response variable is whether or not the person relapsed (which means the person was unable to break out of the cycle of addiction and returned to using cocaine.) We are testing to see if desipramine is better than lithium at treating cocaine addiction. The results are shown in the two-way table. Desipramine Lithium Total Relapse 18 26 44 No relapse 16 8 24 Total 34 34 68 a. Using $p_d$ for the proportion of desipramine users who relapse and $p_l$ for the proportion of lithium users who relapse, write the null and alternative hypotheses.(4pts) b. Compute the appropriate sample statistic.(4pts) c. We compute a randomization statistic by assuming the null hypothesis is true. What does that mean in this case? (3pts) d. We can use StatKey to generate a randomization dotplot for the difference in proportions based on this sample and what we might see by random chance of the null hypothesis is true. Describe the resulting distribution. Where is it centered? (2pts)

3. In 2010, the Centers for Disease Control and Prevention estimated 9.4% of children under the age of 18
had asthma. They reported the standard error to be 0.35%. Assuming that the sampling distribution is
symmetric and bell-shaped, find a 95% confidence interval.Show any necessary calculations.
a. Construct a 95% confidence interval. (3pts)
b. Use a complete sentence to interpret in context. (2pts)
18pts
4. Evaluating Drugs to Fight Cocaine Addiction
In a randomized experiment on treating cocaine addiction, 68 cocaine addicts who were trying to quit
were randomly assigned to take either desipramine (a new drug), or Lithium (an existing drug). The
response variable is whether or not the person relapsed (which means the person was unable to break out
of the cycle of addiction and returned to using cocaine.) We are testing to see if desipramine is better
than lithium at treating cocaine addiction. The results are shown in the two-way table.
Desipramine
Lithium
Total
Relapse
18
26
44
No relapse
16
8
24
Total
34
34
68
a. Using $p_d$ for the proportion of desipramine users who relapse and $p_l$ for the proportion of lithium users
who relapse, write the null and alternative hypotheses.(4pts)
b. Compute the appropriate sample statistic.(4pts)
c. We compute a randomization statistic by assuming the null hypothesis is true. What does that mean in
this case? (3pts)
d. We can use StatKey to generate a randomization dotplot for the difference in proportions based on this
sample and what we might see by random chance of the null hypothesis is true. Describe the resulting
distribution. Where is it centered? (2pts)

Added by Kelly D.

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